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Lattice-Symmetry-Assisted Second-Order Topological Superconductors and Majorana Patterns.

08:00 EDT 11th October 2019 | BioPortfolio

Summary of "Lattice-Symmetry-Assisted Second-Order Topological Superconductors and Majorana Patterns."

We propose a realization of the lattice-symmetry-assisted second-order topological superconductors with corner Majorana zero modes (MZM) based on two-dimensional topological insulators (2DTI). The lattice symmetry can naturally lead to the anisotropic coupling of edge states along different directions to the in-plane magnetic field and conventional s-wave pairings, thus leading to a single MZM located at the corners for various lattice patterns. In particular, we focus on the 2DTI with D_{3d} lattice symmetry and found different types of gap opening for the edge states along the armchair and zigzag edges in a broad range of parameters. As a consequence, a single MZM exists at the corner between the zigzag and armchair edges, and is robust against weakly broken lattice symmetry. We propose to realize such corner MZMs in a variety of polygon patterns, such as triangles and quadrilaterals. We further show their potentials in building the Majorana network through constructing the Majorana Y junction under an in-plane magnetic field.

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Journal Details

This article was published in the following journal.

Name: Physical review letters
ISSN: 1079-7114
Pages: 156801

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